SureDen
1. Decide among the following sets, which sets are subset of one and another:
A { x : x ? R and x satisfy x2 – 8x + 12 = 0}
x2 – 8x + 12 = 0
x2 – 6x – 2
Empty Sets:- A set which does not contain any element is called empty set or null set.
Denoted By &n
1. Which of the following are examples of the null set:-
(i) Set of odd natural numbers divisible by 2.
Example of Null
1. Find the union of each of the following pairs of sets
(i) X = {1, 3, 5} Y = {1, 2, 3}
1. Which of the following are sets? Justify your answer.
(i) The collection of all the moments of a year beginning with the letter J.
Exercise- 1.6
1. If X and Y are two sets such that n(X) = 17, n(Y) = 23
1. Make correct statements by filling in the symbols C or ₵ in the blank spaces :-
(i) {2, 3, 4} C
The molecular formula of benzene has been found from analytical data, to be C6H6. Relatively higher proportion of carbon and addition of chlorine to benzene molecule indicate
Combination of capacitors in series:
When the –ve plate of 1 capacitor is connected to the positive plate of the second and the –ve of
1. If ((x/3)+1, y – (2/3)) = ((5/3), (1/3)), find the values of x & y
(x/3)+1=5/3
Human digestive system:
Body parts including mouth from where food enters, digestive organs & elimination organs in digestive system are collectively called alimentary system or alimentary canal.
It has 4 layers:-
1
Process of Recombinant DNA Technology
Recombinant DNA technology involves the following steps:
Question 1: Show that the function f: R∗ → R∗ defined by f(x) = (1/x) is one-one and onto,
where R
Natural No. (N) – 1, 2, 3, 4, 5, …..
Whole No. (w) – 0,1, 2, 3, 4, ……
Control of heart beat:
The rate of heart beat is controlled both by nervous & endocrine system.
Nervous control:
SEXUAL REPRODUCTION involves formation of male and female gamates, either by the same individual or different individuals of opposite sex.These gametes
Industrial preparation of ethanol
Ethanol can be manufactured by the fermentation of:
When two sets of progressive wave trains of same type (both longitudinal or both transverse) having the same amplitude and same time period/frequency/wavelength travelling wit
Ethyne has a triple bond between the two carbon atoms. In the diagram each line represents one pair of shared electrons.
H — C ≡ C — H
Question 1: Let A = {1, 2, 3… 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, co-do
Test Details
Flagellated male gametes are present in all the three of which one of the following sets?
Test Details
If A and B be two sets containing 3 and 6 elements respectively, then minimum number of elements A∪B is
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If A and B are two sets such that A and 12 elements, B has 17 elements and A ∪ B has 21 elements, then number of elements in A ∩ B are
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If sets A and B are defined as A = {(x, y)| y = ex, x Є R}, B = {(x, y)| y = x, x Є R}, then
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Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of second set. The values of m and n are
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If A and B be two sets containing 3 and 6 elements respectively, then minimum number of elements A∪B is
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Which of the following sets of concurrent forces may be in equilibrium
Test Details
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of second set. The values of m and n are
Test Details
If A and B are two sets such that A has 12 elements, B has 17 elements and A ∪ B has 21 elements, then number of elements in A ∩ B are
Test Details
A harbor lies in a direction 60° south of west from a fort, and at a distance 30 k from it, a ship sets out form the harbour at noon and sails due east at 10 km an hour. The ship will be 70 km from the fort at
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